GCD of 366, 489, 585 Calculator

Given Input numbers are 366, 489, 585

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 366, 489, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 489, 585 is 3.

Therefore, GCD of numbers 366, 489, 585 is 3

Given Input Data is 366, 489, 585

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 489 is 3 x 163

Prime Factorization of 585 is 3 x 3 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(366, 489) = 59658

GCD(366, 489) = ( 366 x 489 ) / 59658

GCD(366, 489) = 178974 / 59658

GCD(366, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

GCD of 366, 489, 585 is 3

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1. What is the GCD of 366, 489, 585?

GCD of 366, 489, 585 is 3

2. Where do I get the detailed procedure to find GCD of 366, 489, 585?

You can find a detailed procedure to find GCD of 366, 489, 585 on our page.

3. How to find GCD of 366, 489, 585 on a calculator?

You can find the GCD of 366, 489, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.